Effects of Rotation and Gravity Field on Surface Waves in Fibre-Reinforced Thermoelastic Media under Four Theories

被引:10
作者
Abd-Alla, A. M. [1 ,2 ]
Abo-Dahab, S. M. [1 ,3 ]
Al-Mullise, A. [1 ]
机构
[1] Taif Univ, Fac Sci, Dept Math, At Taif 888, Saudi Arabia
[2] Sohag Univ, Fac Sci, Dept Math, Sohag, Egypt
[3] Fac Sci, Dept Math, Qena 83523, Egypt
关键词
ELASTIC HALF-SPACE; RAYLEIGH-WAVES; INITIAL STRESS; ORTHOTROPIC MATERIAL; THERMAL-STRESSES; SPHERICAL CAVITY; COMPOSITE PLATE; MAGNETIC-FIELD; LAMB WAVE; PROPAGATION;
D O I
10.1155/2013/562369
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Estimation is done to investigate the gravitational and rotational parameters effects on surface waves in fibre-reinforced thermoelastic media. The theory of generalized surface waves has been firstly developed and then it has been employed to investigate particular cases of waves, namely, Stoneley waves, Rayleigh waves, and Love waves. The analytical expressions for surface waves velocity and attenuation coefficient are obtained in the physical domain by using the harmonic vibrations and four thermoelastic theories. The wave velocity equations have been obtained in different cases. The numerical results are given for equation of coupled thermoelastic theory (C-T), Lord-Shulman theory (L-S), Green-Lindsay theory (G-L), and the linearized (G-N) theory of type II. Comparison was made with the results obtained in the presence and absence of gravity, rotation, and parameters for fibre-reinforced of the material media. The results obtained are displayed by graphs to clear the phenomena physical meaning. The results indicate that the effect of gravity, rotation, relaxation times, and parameters of fibre-reinforced of the material medium is very pronounced.
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页数:20
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